{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c827ff66",
   "metadata": {},
   "source": [
    "# 布拉克曼窗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b62f656e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#导入使用的库\n",
    "import numpy as np\n",
    "from scipy import signal,fft\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "\n",
    "#计算布拉克曼窗的wn值和幅度响应\n",
    "N = 51 #布拉克曼窗长度\n",
    "wn = signal.windows.blackman(N) #布拉克曼窗的wn值\n",
    "N0 = 2048;N1 = int(N0/2)\n",
    "Ha = np.abs(fft.fft(wn,N0))+1e-10;Ha = Ha/np.max(Ha)\n",
    "Ar = 20*np.log10(Ha);freq = np.linspace(0,1,N1)\n",
    "\n",
    "#绘制布拉克曼窗\n",
    "fig,ax = plt.subplots();ax.stem(wn,basefmt=\"\")\n",
    "ax.set_title('布拉克曼窗');ax.set_xlabel('n');ax.set_ylim([0,1.5])\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "fig.savefig('./win_blac1.png',dpi=500)\n",
    "\n",
    "#绘制布拉克曼窗的幅度响应\n",
    "fig,ax = plt.subplots();ax.plot(freq,Ar[:N1]);ax.grid()\n",
    "ax.set_title('布拉克曼窗的幅度响应');ax.set_xlabel('k')\n",
    "ax.set_xlabel(r'$ \\omega / \\pi $')\n",
    "ax.set_ylabel(r'$ 20log_{10}| H ( \\omega ) | $')\n",
    "ax.set_xlim([0,1]);ax.set_ylim([-150,1])\n",
    "ax.xaxis.set_major_locator(MaxNLocator(11))\n",
    "ax.yaxis.set_major_locator(MaxNLocator(16))\n",
    "plt.rcParams['axes.unicode_minus'] = False #用来显示负号\n",
    "fig.savefig('./win_blac2.png',dpi=500)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6650e270",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
